Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities
This paper investigates the following p(x)-Laplacian equations with exponential nonlinearities: −Δp(x)u+ρ(x)ef(x,u)=0 in Ω, u(x)→+∞ as d(x,∂Ω)→0, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian, ρ(x)∈C(Ω). The asymptotic behavior of boundary blow-up solutions is discussed, and the existenc...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/971268 |
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| author | Li Yin Yunrui Guo Jing Yang Bibo Lu Qihu Zhang |
| author_facet | Li Yin Yunrui Guo Jing Yang Bibo Lu Qihu Zhang |
| author_sort | Li Yin |
| collection | DOAJ |
| description | This paper investigates the following p(x)-Laplacian equations with exponential nonlinearities: −Δp(x)u+ρ(x)ef(x,u)=0 in Ω, u(x)→+∞ as d(x,∂Ω)→0, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian, ρ(x)∈C(Ω). The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given. |
| format | Article |
| id | doaj-art-2a1e74673b414226a513b186bf2f099b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2a1e74673b414226a513b186bf2f099b2025-02-03T01:03:30ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/971268971268Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential NonlinearitiesLi Yin0Yunrui Guo1Jing Yang2Bibo Lu3Qihu Zhang4Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaDepartment of Mathematics, Henan Institute of Science and Technology, Xinxiang, Henan 453003, ChinaDepartment of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaSchool of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaDepartment of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaThis paper investigates the following p(x)-Laplacian equations with exponential nonlinearities: −Δp(x)u+ρ(x)ef(x,u)=0 in Ω, u(x)→+∞ as d(x,∂Ω)→0, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian, ρ(x)∈C(Ω). The asymptotic behavior of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.http://dx.doi.org/10.1155/2010/971268 |
| spellingShingle | Li Yin Yunrui Guo Jing Yang Bibo Lu Qihu Zhang Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities Abstract and Applied Analysis |
| title | Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities |
| title_full | Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities |
| title_fullStr | Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities |
| title_full_unstemmed | Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities |
| title_short | Existence and Asymptotic Behavior of Boundary Blow-Up Solutions for Weighted p(x)-Laplacian Equations with Exponential Nonlinearities |
| title_sort | existence and asymptotic behavior of boundary blow up solutions for weighted p x laplacian equations with exponential nonlinearities |
| url | http://dx.doi.org/10.1155/2010/971268 |
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